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A264577 Prime numbers such that sum of digits in base 4 equals product of digits in base 4. 1
2, 3, 617, 677, 5593513, 5597797, 5608873, 5609113, 5609833, 5659237, 5662297, 5662357, 5678437, 5854633, 5855833, 5871013, 5871961, 5871973, 5872213, 5875033, 5876053, 5920357, 5921173, 5924437, 5937493, 6646357, 6658453, 6661477, 6706537, 6706597, 6707557 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Chai Wah Wu, Table of n, a(n) for n = 1..10000

EXAMPLE

5593513_10 = 111111212221_4 is prime and the sum of digits of 111111212221 is equal to the product of digits.

MATHEMATICA

Select[Prime@ Range[10^6], Total@ # == Times @@ # &@ IntegerDigits[#, 4] &] (* Michael De Vlieger, Nov 18 2015 *)

CROSSREFS

Cf. A066306.

Sequence in context: A348360 A004887 A240709 * A165770 A226148 A108332

Adjacent sequences:  A264574 A264575 A264576 * A264578 A264579 A264580

KEYWORD

nonn,base

AUTHOR

Chai Wah Wu, Nov 17 2015

STATUS

approved

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Last modified January 26 21:14 EST 2022. Contains 350600 sequences. (Running on oeis4.)